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Finding the Fourth Proportional to 2,573.64, 3,861.18 and 1,012.68

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Solution

The fourth proportional to 2,573.64, 3,861.18 and 1,012.68 is: 1,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.64 : 3,861.18 = 1,012.68 : x
  2. Step 2: Convert to fraction form
    2,573.64/3,861.18 = 1,012.68/x
  3. Step 3: Cross multiply
    2,573.64x = 3,861.18 × 1,012.68
  4. Step 4: Simplify right side
    2,573.64x = 3,910,139.76
  5. Step 5: Solve for x
    x = 3,910,139.76/2,573.64
  6. Step 6: Final answer
    x = 1,519.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.